Question

2) [6 pts] Consider the polynomial y x3-8x2 + 19x - 12 a) Create an anonymous function for y and use that for parts (b)-(d) b) Plot the function over the range 0 s x s 5. Use fplot. c) Find all zeros of the function d) Find the minimum point
Using MATLAB functions, write a program to answer the question

Answer 1

Code:

%part a

fun = @(x) x.^3 - 8.*x.^2 + 19.*x -12;

%part b

fplot(fun,[0 5],'r');

%part c

z1 = fzero(fun, 0); % from graph we can see than one root is nearby 0

disp(z1);

z2 = fzero(fun, 2.5); % from graph we can see than one root is nearby 2.5

disp(z2);

z3 = fzero(fun, 3.8); % from graph we can see than one root is nearby 3.8

disp(z3);

%part d

m = fminbnd(fun,0 ,5); % minimum of single variable function

disp(m);

Ouput:

null